So in advance I will make two disclaimers: 1) a similar thread may already exist, but I couldn't find it quickly and didn't want to pore through 20 pages or more looking for it; 2) I know a lot of people don't like the idea of changing the OT at all, so this thread may not be for everyone.
With that, this forum has several other threads for ideas, whether they be simplistic and modest or radical and outlandish. I hope this thread can bridge the gaps between the two trilogies. As we all know, they differ in a number of ways, and I encourage any ideas to improve the continuity between the two. This can be from whatever perspective, such as only changing the PT to better mesh with the OT, only changing the OT to better mesh with the PT (I'll bet that's a popular category here), or compromise. This can allow for a 1-6 viewing, or a 4-6, 1-3 viewing.
I personally enjoy the PT in spite of its many shortcomings and inconsistency between the two sagas. I think that realistically it would be impossible to leave the burden of smoothing out plot holes up to the PT. Besides, there are elements of the PT that I do like. Thus, I subscribe to a compromise approach. I also think it would be nice to see a version that could be watched 1-6 or 4-6, 1-3.
My first suggestion is to incorporate some reminder of Qui-Gon into the OT. Most particularly, it seems like Obi-Wan could perhaps hear him once or twice throughout Ep IV. One of my first posts on this site included this thought. He could simply seem to be lost in thought when Qui-Gon's voice comes to guide him, perhaps while contemplating "Now that's a name I've not heard in a long time..." or on the Death Star while seeking out Vader. Just a thought, though I hope to come up with many more. Any thoughts from you guys?